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Finding the Third Proportional to 21,848 and 46,555.75

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Solution

The third proportional to 21,848 and 46,555.75 is: 99,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,848 : 46,555.75 = 46,555.75 : x
  2. Step 2: Convert to fraction form
    21,848/46,555.75 = 46,555.75/x
  3. Step 3: Cross multiply
    21,848x = 46,555.75 × 46,555.75
  4. Step 4: Simplify right side
    21,848x = 2,167,437,858.06
  5. Step 5: Solve for x
    x = 2,167,437,858.06/21,848
  6. Step 6: Final answer
    x = 99,205.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.